noun \ˈa-səm(p)-ˌtōt\

Definition of ASYMPTOTE

:  a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line
as·ymp·tot·ic \ˌa-səm(p)-ˈtä-tik\ adjective
as·ymp·tot·i·cal·ly \-ti-k(ə-)lē\ adverb

Illustration of ASYMPTOTE


probably from New Latin *asymptotus, from Greek asymptōtos not meeting, from a- + sympiptein to meet — more at symptom
First Known Use: 1656


noun    (Concise Encyclopedia)

In mathematics, a line or curve that acts as the limit of another line or curve. For example, a descending curve that approaches but does not reach the horizontal axis is said to be asymptotic to that axis, which is the asymptote of the curve.


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